Multiplication and division are inverse operations. In other words, multiplying a number $$A$$ by another number $$B$$ and then dividing the product by the number $$B$$ will yield the original number $$A$$.

For a positive number $$a$$, $$a^{1/\Torange{q}}$$ is the positive number that, when raised to the power of $$\Torange{q}$$, is equal to a. It is called the $$q$$-th root of $$a$$. It is also written as $$\sqrt[\Torange{q}]{a}$$.

When we work through addition and subtraction, we work from left to right. For example, we work out $$2-3+5$$ as $$$\Tred{2-3} +5 = \Tred{-1} + 5 = 4,$$$ not as $$2 - (\Tred{3+5}) = 2 - \Tred{8} = -6$$.